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Fully simplify.

x^(2)y^(2)(-5x^(2)y^(4))
Answer:

Fully simplify.\newlinex2y2(5x2y4) x^{2} y^{2}\left(-5 x^{2} y^{4}\right) \newlineAnswer:

Full solution

Q. Fully simplify.\newlinex2y2(5x2y4) x^{2} y^{2}\left(-5 x^{2} y^{4}\right) \newlineAnswer:
  1. Apply Distributive Property: Apply the distributive property to multiply the monomials.\newlineWhen multiplying monomials, we add the exponents of like bases. Here, we have x2×(5x2)x^{2} \times (-5x^{2}) and y2×y4y^{2} \times y^{4}.\newlinex2×(5x2)=5x2+2=5x4x^{2} \times (-5x^{2}) = -5x^{2+2} = -5x^{4}\newliney2×y4=y2+4=y6y^{2} \times y^{4} = y^{2+4} = y^{6}
  2. Combine Results: Combine the results from Step 11.\newlineNow we combine the results of the multiplication of the xx terms with the yy terms.\newline5x4×y6-5x^{4} \times y^{6}
  3. Write Final Expression: Write the final simplified expression.\newlineThe expression is already simplified, so we can write the final answer.\newline5x4y6-5x^{4}y^{6}

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